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136003224 = 233721091061
BaseRepresentation
bin10000001101100…
…11111010011000
3100110220200100110
420012303322120
5234304100344
621255004320
73241002600
oct1006637230
9313820313
10136003224
116a852265
12396696a0
132223b0a6
14140c3c00
15be173b9
hex81b3e98

136003224 has 96 divisors (see below), whose sum is σ = 399524400. Its totient is φ = 38465280.

The previous prime is 136003211. The next prime is 136003229. The reversal of 136003224 is 422300631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 136003224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136003229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127654 + ... + 128714.

Almost surely, 2136003224 is an apocalyptic number.

136003224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136003224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199762200).

136003224 is an abundant number, since it is smaller than the sum of its proper divisors (263521176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136003224 is a wasteful number, since it uses less digits than its factorization.

136003224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 136003224 is about 11662.0420167310. The cubic root of 136003224 is about 514.2603817328.

Adding to 136003224 its reverse (422300631), we get a palindrome (558303855).

The spelling of 136003224 in words is "one hundred thirty-six million, three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 109 147 168 196 218 294 327 392 436 588 654 763 872 1061 1176 1308 1526 2122 2289 2616 3052 3183 4244 4578 5341 6104 6366 7427 8488 9156 10682 12732 14854 16023 18312 21364 22281 25464 29708 32046 42728 44562 51989 59416 64092 89124 103978 115649 128184 155967 178248 207956 231298 311934 346947 415912 462596 623868 693894 809543 925192 1247736 1387788 1619086 2428629 2775576 3238172 4857258 5666801 6476344 9714516 11333602 17000403 19429032 22667204 34000806 45334408 68001612 136003224